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math.GT2026
Instanton and pillowcase homology of the pretzel knots
Bernd Johannes Wuebben
Hedden, Herald and Kirk conjectured that every knot admits a decomposition along a Conway sphere for which the Lagrangian Floer homology of the two associated immersed curves in th…
math.GT2026
Traceless characters and instanton gradings for two-bridge and -torus knots
Bernd Johannes Wuebben
For every torus knot, the rank of the differential of the Daemi-Scaduto S-complex of singular instanton homology is determined by the signature and the Alexander polynomial; this f…